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Finding the Fourth Proportional to 27,762.57, 41,635.22 and 9,290.25

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Solution

The fourth proportional to 27,762.57, 41,635.22 and 9,290.25 is: 13,932.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,762.57 : 41,635.22 = 9,290.25 : x
  2. Step 2: Convert to fraction form
    27,762.57/41,635.22 = 9,290.25/x
  3. Step 3: Cross multiply
    27,762.57x = 41,635.22 × 9,290.25
  4. Step 4: Simplify right side
    27,762.57x = 386,801,556.15
  5. Step 5: Solve for x
    x = 386,801,556.15/27,762.57
  6. Step 6: Final answer
    x = 13,932.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.